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SSSSS [86.1K]
3 years ago
10

how are adding and subtracting two rational numbers with different signs related to adding and subtracting two integers with dif

ferent signs.​
Mathematics
1 answer:
Nata [24]3 years ago
4 0

Answer:

Step-by-step explanation:

it is related as all integers are rational numbers

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What is the value of x?
Akimi4 [234]
(2x + 2) = (3x + -52)

Reorder the terms:
(2 + 2x) = (3x + -52)

Remove parenthesis around (2 + 2x)
2 + 2x = (3x + -52)

Reorder the terms:
2 + 2x = (-52 + 3x)

Remove parenthesis around (-52 + 3x)
2 + 2x = -52 + 3x

Solving
2 + 2x = -52 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.
2 + 2x + -3x = -52 + 3x + -3x

Combine like terms: 2x + -3x = -1x
2 + -1x = -52 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -1x = -52 + 0
2 + -1x = -52

Add '-2' to each side of the equation.
2 + -2 + -1x = -52 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = -52 + -2
-1x = -52 + -2

Combine like terms: -52 + -2 = -54
-1x = -54

Divide each side by '-1'.
x = 54

Simplifying
x = 54
4 0
3 years ago
Correct answers only please!
sasho [114]
The correct answer is A
3 0
3 years ago
Read 2 more answers
With a detailed explanation from the internet<br> 1/(x-5)+3/(x+2)=4
irga5000 [103]

Answer:

\boxed{ \sf x=\dfrac{4\pm\sqrt{43}}{2}}

Explanation:

\rightarrow \sf \dfrac{1}{x-5}+\dfrac{3}{x+2}=4

<u>make the denominators same</u>

\rightarrow \sf \dfrac{1(x+2)}{(x-5)(x+2)}+\dfrac{3(x-5)}{(x+2)(x-5)}=4

<u>join the fractions together</u>

\rightarrow \sf \dfrac{x+2+3x-15}{(x-5)(x+2)}=4

<u>cross multiply</u>

\rightarrow \sf x+2+3x-15=4(x-5)(x+2)

<u>simplify</u>

\rightarrow \sf 4x-13=4x^2-12x-40

<u>group the variables</u>

\rightarrow \sf 4x^2-16x-27 = 0

<u>use quadratic formula</u>

\rightarrow \sf x = \dfrac{-\left(-16\right)\pm \sqrt{\left(-16\right)^2-4\cdot \:4\left(-27\right)}}{2\cdot \:4}

<u>simplify the following</u>

\rightarrow \sf x=\dfrac{4\pm\sqrt{43}}{2}

7 0
2 years ago
Read 2 more answers
What is the GCF of 60 and<br> 55?
Ymorist [56]

Answer:

5

Step-by-step explanation:

4 0
3 years ago
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If m(x)=x+5/x-1 and n(x) = x – 3, which function has the same domain as (m.n)(x)
meriva

Answer:

The domain of function (m.n)x is same as domain of function m(x).

Step-by-step explanation:

Domain: Any set of input values for which the function is defined and valid.

m(x)=x+5/x-1

Domain of m(x) is x>1 or x<1, x≠1, because if x=1 the function will be undefined.

n(x) = x – 3

Domain of x -3 is -∞<x<∞ i.e all real numbers

(m.n)x = (x+5/x-1)(x-3)

          = (x+5)(x-3)/x-1

The Domain of (m.n)x is x<1 or x>1 or x≠1 because the function is undefined for x=1

So, the domain of function (m.n)x is same as domain of function m(x).

8 0
3 years ago
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